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Finding the Fourth Proportional to 1,110.85, 1,532.96 and 668.86

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Solution

The fourth proportional to 1,110.85, 1,532.96 and 668.86 is: 923.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.85 : 1,532.96 = 668.86 : x
  2. Step 2: Convert to fraction form
    1,110.85/1,532.96 = 668.86/x
  3. Step 3: Cross multiply
    1,110.85x = 1,532.96 × 668.86
  4. Step 4: Simplify right side
    1,110.85x = 1,025,330.96
  5. Step 5: Solve for x
    x = 1,025,330.96/1,110.85
  6. Step 6: Final answer
    x = 923.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.